A Functional Central Limit Theorem in Diophantine Approximation

DOI10.2307/2048555zbMath0727.11029OpenAlexW4256664029MaRDI QIDQ3348975

Jorge D. Samur

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048555

zbMATH Keywords

invariance principlecontinued fraction expansionmixing random variablesFunctional central limit theorems

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17) Diophantine approximation in probabilistic number theory (11K60)

Related Items (3)

Some remarks on a probability limit theorem for continued fractions ⋮ Central limit theorems for simultaneous Diophantine approximations ⋮ On Kolmogorov’s converse inequality for dependent random variables

Cites Work

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• Diophantine approximation
• On the Frequency of Small Fractional Parts in Certain Real Sequences
• On the Frequency of Small Fractional Parts in Certain Real Sequences. II
• Some results on diophantine approximation
• On Some Limit Theorems for Continued Fractions
• Almost sure invariance principles for partial sums of weakly dependent random variables
• Mixing sequences of random variables and probablistic number theory

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